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Finding the Third Proportional to 109.73 and 236.77

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Solution

The third proportional to 109.73 and 236.77 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.73 : 236.77 = 236.77 : x
  2. Step 2: Convert to fraction form
    109.73/236.77 = 236.77/x
  3. Step 3: Cross multiply
    109.73x = 236.77 × 236.77
  4. Step 4: Simplify right side
    109.73x = 56,057.96
  5. Step 5: Solve for x
    x = 56,057.96/109.73
  6. Step 6: Final answer
    x = 510.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.